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Finding the Fourth Proportional to 8,713.50, 12,024.18 and 4,734.54

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Solution

The fourth proportional to 8,713.50, 12,024.18 and 4,734.54 is: 6,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.50 : 12,024.18 = 4,734.54 : x
  2. Step 2: Convert to fraction form
    8,713.50/12,024.18 = 4,734.54/x
  3. Step 3: Cross multiply
    8,713.50x = 12,024.18 × 4,734.54
  4. Step 4: Simplify right side
    8,713.50x = 56,928,961.18
  5. Step 5: Solve for x
    x = 56,928,961.18/8,713.50
  6. Step 6: Final answer
    x = 6,533.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.